Guided Example #1 - Implicit Differentiation

Find $\frac{d y}{d x}$ if $x^{4} + 2 y^{2} = 8$ .

A. $\frac{d y}{d x} = \frac{x^{3}}{y}$ B. $\frac{d y}{d x} = - \frac{x^{3}}{y}$ C. $\frac{d y}{d x} = \frac{- x^{3}}{4 y}$ D. $\frac{d y}{d x} = \frac{4 x^{3}}{y}$

$lim_{x \to \infty} (\frac{3 x^{2} - x + 10}{2 x - 1})$

Step 1

Implicitly differentiating by taking the derivative of both sides with respect to x yields the following.

$4 x^{3} + 4 y \frac{d y}{d x} = 0$

Guided Example #1 - Implicit Differentiation

Step 1

Step 2

All Steps